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Created page with "== Title == Impossibility Theorems and the Universal Algebraic Toolkit == Speaker == Mario Szegedy, Professor in Computer Science, Rutgers University == Abstract == We eluci..."
== Title ==
Impossibility Theorems and the Universal Algebraic Toolkit
== Speaker ==
Mario Szegedy, Professor in Computer Science, Rutgers University
== Abstract ==
We elucidate a close connection between the Theory of Judgment
Aggregation
and a relatively young but rapidly growing field of universal algebra,
that was primarily developed to investigate constraint satisfaction
problems. We show that theorems in the above field translate (often
directly) to impossibility,classification and robustness theorems in
social choice theory. We refine the classification of E. Dokow, R.
Holzman of binary evaluations, give a classification theorem for the
majoritarian aggregator and show how Sen's well known theorem follows
from it, add new classification results to non binary evaluations,
define new aggregator classes and also prove theorems about them.
Joint work with Yixin Xu
Impossibility Theorems and the Universal Algebraic Toolkit
== Speaker ==
Mario Szegedy, Professor in Computer Science, Rutgers University
== Abstract ==
We elucidate a close connection between the Theory of Judgment
Aggregation
and a relatively young but rapidly growing field of universal algebra,
that was primarily developed to investigate constraint satisfaction
problems. We show that theorems in the above field translate (often
directly) to impossibility,classification and robustness theorems in
social choice theory. We refine the classification of E. Dokow, R.
Holzman of binary evaluations, give a classification theorem for the
majoritarian aggregator and show how Sen's well known theorem follows
from it, add new classification results to non binary evaluations,
define new aggregator classes and also prove theorems about them.
Joint work with Yixin Xu